a. Suppose that the length of each side of the green equilateral triangle is 2 cm. Use this information to find the area of the red trapezoid and the yellow hexagon. Hint: You need a famous theorem to find the heights. Also, think about the relationship between the shapes. b. The yellow hexagon is a regular hexagon. Use what you did in part a) to find the formula for the area of any regular hexagon. Hint: Regular polygons have a measurement called the apothem, labelled. Your formula must include the apothem. If it helps, call each side of the hexagon s. c. Which has the larger area, if any? How do you know? Find the exact area of one of them using the same measurements as above

Q: The length of the curved part of a semicircle is 25.12 inches. What is the approximate area of the…

A:

Q: 11 in. 7.5 in. 15 in.

A: The trapezoid is a two dimensional shape. A trapezoid is a quadrilateral , which has at least one…

Q: Find the area of the figure. (Sides meet at right angles.) 6 in 4 in 7 in 4 in 2 in

A: We use area of rectangle = Length X Breadth

Q: What is the area of an equalateral triangle whose scribed circle has a radium of 2?

A: A circle is inscribed in an equilateral triangle with a…

Q: What is a simplified formula for the area of an equilateral triangle in terms of length of a side…

A: To determine a simplified formula for the area of an equilateral triangle in terms of length of a…

Q: Solve for the area of the unshaded section of the given square. If the diameter of the semi-circle…

A:

Q: Find the area of the figure. (Sides meet at right angles.) 5 in in 5 in 5 in 2 in 2 in 3 in

A:

Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothens? Of…

A:

Q: The area of a polygon can be found by subdividing it into smaller regions. Use this principle to…

A: The given figure is as follows -  Area of polygon = Area of triangle ABF + Area of triangle BIC +…

Q: What is the perimeter of an equilateral triangle inscribed in a circle with a diameter of 20 cm?

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Suppose the radius of a 8-gon measures to be 7.7 units and each side of the 8-gon measures to be 8…

A:

Q: 6. Calculate the area of a regular octagon, if each side is 5 cm and the width across the flats is…

A:

Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. If necessary,…

A:

Q: a. find the area of a regular decagon inscribed in a circle whose radius is 4meters. b. The…

A:

Q: The area of the regular hexagon is 10.4 in.2. What is the measure of the apothem, rounded to the…

A: Directly use the formula for the area of hexagon.

Q: What is the area of a regular pentagon with an apothem of 25.1mm and a side length of 36.4mm?

A: Given that a regular Pentagon with an apothem of 25.1mm and side length of 36.4mm Here we have to…

Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 9 in. and that…

A: Given,  Length of base edge (b) = 9 in Altitude of prism (h) = 10 in Apothem of the base = 6.2 in

Q: Given the area of the trapezoid (2000 m^2) and the side of one base (144 m), find the length of the…

A: Given. Area of Trapezoid ABCD, A=2000m2  one base length AB=144…

Q: O A cubical box is enlarged by e 3cm in length and width and 4em so that the resulting volume is…

A:

Q: 7 in. 60°

A:

Q: What is the length of one base of a trapezoid with another base of length 4 cm, a height of 2 cm,…

A: Topic- area of trapezoid

Q: A side of an equilateral triangle is 26 yd long. What is the area of the triangle? Do not round any…

A:

Q: 6. Calculate the area of a regular octagon, if each side is 5 cm and the width across the flats is…

A: Consider the following figure. The area of the above octagon is 8 times the area of the triangle…

Q: The area of a trapezoid is 42 in^2. What is the new area of the trapezoid if the height were tripled…

A:

Q: What is the formula for the area of a segment? O Anguent = Apector - Alowe triangle O Amnguent =…

A:

Q: A thin wire used to frame a triangle with sides 2 in, 3 in, 4 in, is bent to form a circle. What is…

A:

Q: Please help. *Draw the picture too* and explain it clearly-easy to understand (showing step by step)

A:

Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Let's find.

Q: One part of a quartz crystal is a hexagonal prism with a right section of 1.29 sq. in., an edge of…

A: Formula Used: Volume of hexagonal prism = altitude × Area of base Volume of hexagonal prism = Area…

Q: What is the name of the figure below if all of the side lengths are congruent? O Regular hexagon O…

A:

Q: If the quadrilateral below is a square, find the missing measures. N. *LN = 46 OM = PN = PO = ON =…

A:

Q: Given a circle with an area of 257 in?, what is the circurmference? Give the exact answer by leaving…

A: Circumference of circle

Q: Find the area of the largest trapezoid that can be enclosed in a semicircle of radius 12 cm if the…

A:

Q: A developer wants to subdivide a rectangular plot of land measuring 600 m by 750 m into congruent…

A:

Q: Find the area of the trapezoid. 0.6 in 2 in 2 in

A: Given, The parallel sides of the trapezoid is   0.6 in  and   2 in   Distance between parallel sides…

Q: If the side measure of a regular hexagon is 5cm and the area is 94.66 cm ^ 2 what is the length of…

A:

Q: Find the length of the missing hypotenuse of a right triangle whose legs measure 3 cm and 4 cm. If…

A: This problem is solved using the Pythagorean theorem . a^2 +b^2 =c^2

Q: A strip of masking tape is placed around the edges of a rectangular window prior to painting its…

A: Area covered by the masking tape divided by width of the tape gives the length of the tape used .

Q: 24.) To the nearest whole number, what is the surface area of a square pyramid with each side of the…

A: The base is a square with sides 30 yards  So area of the base= 30*30 = 900 square yards

Q: What is the height of a parallelogram with an area of 10 m2 and a base of 5 m? О 5m O 4 m 1 m О 2m

A:

Q: Find the area of the figure. (Sides meet at right angles.) 9 in 4 in 5 in В in 5 in

A:

Q: If a cone has a diameter of 10 and a height of 12 and a slant height of 13. What is it’s volume and…

A:

Q: 5 in. 5 in. 4 in 0.5 in. 6 in.

A:

Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. If necessary,…

A:

Q: What is the area of a regular decagon with an apothem of 3.8 cm and a side length of 2.5 cm? O 47.5…

A:

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Consider the radius of a right circular cone = r So slant height l=2r Given that total area of the…

Q: What is the area of a regular octagon with an apothem of 9.3 cm and a side length of 7.7 cm? O…

A:

Q: a2 + b2 =c2 SA = 2B +ph, B is area of base, p is 4 in 9 in 3 in perimeter of the base, h height of…

A: Here, we need to find the surface area of the prism. We are given the following graph.…

Q: If a cylindrical water tank holds 1,000 ft of water and has a height of 10 feet, what is the…

A: Explanation of the answer is as follows

Q: What is the area of the fiqure below? given that each side of the regular hexagon has length 43.8cm…

A: Solution ) area of the regular hexagon with apothem A  = 1/2 × a × p       [   a = apothem…